document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270651>Question 270651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> corporate investments The financial board of a corporation invested $25000 overseas, part at 4% and part at 7% annual interest.Find the amount invested at each rate if the first year combined income from the two investment was $1300 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198201 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = Amount of money invested at 4%<BR>\n" );
document.write( "y = Amount of money invested at 7%\r<BR>\n" );
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document.write( "Combined Interest = 1300\r<BR>\n" );
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document.write( "Combined Interest Equation equals:\r<BR>\n" );
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document.write( ".04*x + .07*y = 1300\r<BR>\n" );
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document.write( "Total invested = 25,000\r<BR>\n" );
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document.write( "Total Investment Equation equals:\r<BR>\n" );
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document.write( "x + y = 25000\r<BR>\n" );
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document.write( "You need to solve these two equations simultaneously to get your answer.\r<BR>\n" );
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document.write( "The equations are:\r<BR>\n" );
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document.write( "x + y = 25000<BR>\n" );
document.write( ".04x + .07y = 1300\r<BR>\n" );
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document.write( "use the first equation to solve for y in terms of x.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "y = 25000 - x\r<BR>\n" );
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document.write( "substitute for y in the second equation to get:\r<BR>\n" );
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document.write( ".04x + .07(25000-x) = 1300\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".04x + .07*25000 - .07*x = 1300\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( ".04x + 1750 - .07x = 1300\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-.03x + 1750 = 1300\r<BR>\n" );
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document.write( "subtract 1750 from both sides of equation to get:\r<BR>\n" );
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document.write( "-.03x = 1300 - 1750 = -450\r<BR>\n" );
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document.write( "divide both sides of equation by -.03 to get:\r<BR>\n" );
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document.write( "x = -450/-.03 = 150000\r<BR>\n" );
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document.write( "since x + y = 2500, then y = 10000\r<BR>\n" );
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document.write( "your answer should be:\r<BR>\n" );
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document.write( "Amount invested at 4% = 15000.\r<BR>\n" );
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document.write( "Amount invested at 7% = 10000.\r<BR>\n" );
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document.write( "Interest on 15000 at 4% = .04 * 15000 = 600.\r<BR>\n" );
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document.write( "Interest on 10000 at 7% = .07 * 10000 = 700.\r<BR>\n" );
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document.write( "Combined interest = 600 + 700 = 1300, confirming the answer is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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